![]() ![]() The magnetic textures as well as the topological states are shown to be switched by controlling compositions of the non-rare-earth elements in the ternary compounds. ![]() ![]() We also find that the whirling-moment state is characterized by unusually large topological charge of three. Our analysis of the minimal model based on the magnetic anisotropy suggests that the long-range order of the hedgehog characterized by the topological charge of one is stabilized in the Tb-based QC. We find that magnetic anisotropy arising from the CEF plays a key role in realizing unique magnetic textures on the icosahedron whose vertices Tb atoms are located at. Here we show the full microscopic analysis of the CEF in Tb-based QCs. The main difficulty was lack of microscopic theory to analyze the effect of the crystalline electric field (CEF) at the rare-earth atom in QCs. The electric property is far from complete understanding and it has been a long-standing issue whether the magnetic long-range order is realized in the QC. Quasicrystal (QC) possesses a unique lattice structure with rotational symmetry forbidden in conventional crystals. ![]()
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